How big are they?
Smaller shrubs and trees can be moved, as long as you are prepared for a lot of digging and tugging and back breaking work, with the possible result of the plant not making it. To root properly in a new spot, you should ideally dig a hole at least about twice as big as the root clump you are putting down and fill it with nutritious soil according to the needs of the plant you are re-planting. This so the roots can start sucking nutrients quickly and spread properly without problems. This is especially important when replanting late in the season, since you don't want a badly rooted plant before winter (if you have winter where you live).
In my limited experience with magnolia (never encountered fig, so can't help you there) it is an extremely slow growing plant which is left best to its own devices since it is slow to heal after pruning. If you absolutely feel you must prune/cut it, it is best to wait until the middle of next summer. After the sap has risen, but long before colder weather rolls in so it has time to properly heal before autumn/winter. If you do decide to cut your magnolia, the rules are much the same as for fruit trees. Cut right above a bud/pair of leaves or as close to the stem as possible when removing an entire branch, without damaging the bark (both of these techniques will help to avoid dead "coat hangers"). Only prune young branches, disturbing the shape of of the tree (for example ingrowing water shoots, which often appear the year after pruning) and try not to cut into old wood, unless it is a dead branch you are sawing off. As always, try to make clean cuts by using sharp tools. Never use a dull or rusty blade, since the chance of the bark flaking, and thus getting infected, is bigger that way. :)
Good luck with your plants, and lets hope you can eventually get them to recover. Since there's nothing more saddening in a garden than being forced to terminate a plant. Especially slow growing trees.
